Abstract
Any discrete group W generated by reflections in a space of constant curvature X (discrete reflection group) can be described in terms of its fundamental region P,which is a convex polyhedron whose dihedral angles are proper submultiples of π. By immersing the space X in a linear space E (the ambient space), P extends to a convex polyhedral cone C p and W extends to a linear group generated by reflections in the faces of C p (linear Coxeter group).
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References
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Getino, J. (1995). Linear Coxeter Groups. In: Gruber, B. (eds) Symmetries in Science VIII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1915-7_12
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DOI: https://doi.org/10.1007/978-1-4615-1915-7_12
Publisher Name: Springer, Boston, MA
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